Answer:
Step-by-step explanation:
When the balloons collide, they have the same x and y:
-3x^2 + 24x + 3 = y = -4x^2 + 25x + 15
Rearranging like terms together:
(4x^2 - 3x^2) + (24x - 25x) + (3 - 15) = 0
x^2 - x - 12 = 0
(x - 4)(x +3) = 0
x = 4 or -3
As x represents time, it cannot be negative.
The time when the balloons collide is at 4.00 seconds.
The collision means that y is equal
y=-3x²+24x+3y=-4x²+25x+15So
-3x²+24x+3=-4x²+25x+15-3x²+4x²+24x-25x=15-3x²-x=12x²-x-12=0(x-4)(x+3)=0x=4,-3As it's time so must be positive
x=4sMelanie has pieces of train track that are 8 inches long that she is connecting together to form a track that her train can travel on. Martin is also trying to construct a track for his train but is using track pieces that are 20 inches long. How long will the shortest track be if the track that Melanie builds ends up being the same length as Martin's track?
Answer:
40 inches long
Step-by-step explanation:
In order to find the shortest possible track that they can both have but still be equal in length, we need to find the least common multiple of their train track pieces. In order to do so, we simply write out the multiplication table of each of their pieces' length until we find a common number, like so
8*1 = 8 20*1 = 20
8*2 = 16 20*2 = 40
8*3 = 24
8*4 = 32
8*5 = 40
Now we have found the first common multiple which is a value of 40 meaning that the shortest train track that they can build with the same length would be a track that is 40 inches long
An air tank that is 500 mL is 80% oxygen
and 20% nitrogen. What is the amount of
oxygen in milliliters in a 200 ml air tank
that contains the same ratio?
Help with this question plzzzzzz
Answer:
C) 145 degrees
Step-by-step explanation:
angles 2 and 5 are same side interior angles, which means they're supplementary. (they add together to make 180)
using that, you can make the following equation:
(x is angle 2 to avoid confusion)
35 + x = 180
subtract 35 from both sides
x = 180 - 35
x = 145
what is the decimal as a fraction 7/11
Answer:
0.63
Step-by-step explanation:
Hey there!
[tex]\huge\boxed{\mathsf{\dfrac{7}{11}}}\\\\\\\huge\boxed{\mathsf{= 7\div 11}}\\\\\\\huge\boxed{\mathsf{= 0.636364}}\\\\\huge\boxed{\textsf{Therefore, your answer is: 0.636364}}\huge\checkmark[/tex]
Good luck on your assignment and enjoy your day!
~[tex]\frak{Amphitrite1040:)}[/tex]
Zachary is planning to send a video game to each of his two brothers. If he buys the same game for both brothers and pays $2.75 to ship each game, how much can he spend on each game without spending more than $100? Enter and solve an inequality for this situation. Let v be the cost of one video game
Given that,
He buys the same game for both brothers and pays $2.75 to ship each game, how much can he spend on each game without spending more than $100.
We need to solve the inequality for this situation.
Let he spent $x on each of the video game. ATQ,
[tex]2x+2\times 2.75\le 100\\\\2x+5.5\le 100\\\\2x\le 100-5.5\\\\2x\le 94.5\\\\x\le \$47.25[/tex]
So, he can spend less than or equal to $47.25 on each game.
If
c
=
9
, evaluate the following expression:
√
c
Answer:
3
Step-by-step explanation:
Step 1: Define
c = 9
f(c) = √c
Step 2: Substitute and Evaluate
f(9) = √9
f(9) = 3
Answer:
3
Step-by-step explanation:
C=9
The square root of C is the same as the square root of 9
3 x 3 = 9, so the square root of C is 3. C(C)=9
The table below contains values of x and y that satisfy the equation of a line. What is the equation of a line that contains all the points in the table of values.
Answer:
d
Step-by-step explanation:
Determine the slope of each line, if any. Identify which of the lines is vertical or horizontal.
1. f(x)=2x-5
2. f(x)= -3x + 7
3. f(x) = x + 6
4. f(x) = 1/4x -8
5. f(x)= 1/4x-1/2
Answers:
slope = 2slope = -3slope = 1slope = 1/4slope = 1/4None of the five lines are horizontal or vertical
===============================================
Explanation:
Something like f(x) = 2x-5 is the same as y = 2x-5. This is because y = f(x).
Compare y = 2x-5 with y = mx+b. We see that m = 2 is the slope in this case.
The other four questions are handled the same way.
A horizontal line occurs when the slope is 0. Since none of the slopes are zero, none of the lines are horizontal.
A vertical line equation is of the form x = k, where k is any real number. The y variable is not involved. It is not possible to write a vertical line equation in the form y = mx+b because the slope m is undefined. So none of the given five equations are vertical lines.
Side note: something like y = x+6 is the same as y = 1x+6
a number that can be expressed as a fraction is a ___
( fill in the blank ) will give brainliest !
Answer:
rational numbers?
Step-by-step explanation:
A number that can be expressed as a fraction is a rational number.
Step-by-step explanation:
Rational numbers aren’t whole numbers they are fractions And whole numbers can be expressed as a fraction if you put 5 like 5/1
which multiplication expressions is equal to 5/6÷1/2?
Answer:
1 2/3
Step-by-step explanation:
Ella and Jake love to skateboard. They created a frame for the ramp and then covered it with wood.
How much wood did it take to cover the ramp, including the bottom?
Answer:
13.68
Step-by-step explanation:
Beverly is making peanut butter-banana bread. She always doubles the amount of nuts and peanut butter chips. The total amount of chips and nuts after doubling is 4 1/2 cups. The recipe says one and a half cups of peanut butter chips, an unknown number of cups of nuts, and three very ripe bananas. Write and solve an equation to find the original amount of nuts, x, in the recipe.
Answer:
0.75 or three-fourth of a cup of nuts.
Step-by-step explanation:
Given that:
Original recipe has
1. One and half cups of peanut butter
2. Unknown number of cups of nuts, let this amount be [tex]x[/tex] cups.
3. Three very ripe bananas.
Total amount of chips and nuts after doubling = [tex]4\frac{1}{2}[/tex] cups
Before doubling, total amount of chips and nuts = [tex]4\frac{1}{2} \div 2 = 2.25[/tex]
Now, as per given question statement:
[tex]2.25=x+1.5[/tex]
Subtracting the number 1.5 from both the sides to find the value of [tex]x[/tex]:
[tex]2.25-1.5=x\\\Rightarrow x = \bold{0.75}[/tex]
Therefore, 0.75 or three-fourth of a cup of nuts is the original amount in the recipe.
∠A and ∠B are complementary. m∠A = 46°. Find m∠B.
Answer:
angle B will be 44°____________________when two angle are complementary when the added up to 90°so. angle B = 90°-46°=44°
Answer:
90-46=54
Step-by-step explanation:
Peter bought 8 lemons for $ 6. Each lemon was the same price.
What was the cost for 1 lemon?
Answer:
$0.75
Step-by-step explanation:
the total was 6 dollars, and there were 8 lemons. so 6/8 = 3/4 = 0.75
hope this helps!! :)
Answer:
.75 cents each
Step-by-step explanation:
if you divided the 6 dollars by the 8 lemons then you get 0.75
Tell whether it is possible to draw a triangle with the given side lengths.
a. 3 in., 4 in., 5 in.
b. 1 cm, 7 cm, 8 cm
c. 3 ft, 5 ft, 9 ft
Answer:
A.
Step-by-step explanation:
Since the 2 shorter sides are greater than the longest side when added, it meet the triangle inequality thoerem. Triangle Inequality Theorom: The longest side of a triangle is less then the 2 shorter sides added.
4 of 10
Jim was thinking of a number. Jim adds 20 to it, then doubles it and gets an answer of 99.2.
What was the original number?
Answer:
x =29.6
Step-by-step explanation:
Let x be the number
x+20
2(x+20) = 99.2
Divide each side by 2
x+20 = 99.2/2
x+20 = 49.6
Subtract 20
x = 49.6-20
x =29.6
Anna and Hannah have \$80$80dollar sign, 80 each. Their friend offered to invest their money, promising to return a sum rrr times as great as what they invested. Anna was suspicious, so she invested \$20$20dollar sign, 20 only, but Hannah invested her entire \$80$80dollar sign, 80. Fortunately, the friend did indeed return a sum rrr times as great to each.
They decided to make another investment. This time, Hannah invested all of the money returned to her, and Anna invested the money returned to her and the remaining \$60$60dollar sign, 60. Again, they got a sum rrr times as great as what they invested. In the end, Hannah had twice the amount Anna had.
Write an equation in terms of rrr that models the situation.
9514 1404 393
Answer:
2r(20r +60) = 80r^2
Step-by-step explanation:
Anna's first investment:
20
Anna's first return:
20r
Anna's second investment:
20r +60
Anna's second return:
r(20r +60)
__
Hannah's first investment:
80
Hannah's first return, and her second investment:
80r
Hannah's second return:
80r^2
__
Twice Anna's return was equal to Hannah's return:
2r(20r +60) = 80r^2
1) Which expressions can be used to find 1/4
of 12?
Answer:
Multiplication
Step-by-step explanation:
1/4 of 12 can also equal :
[tex] \frac{1}{4} \times 12[/tex]
Further explanation :
[tex] \frac{1}{4} \times \frac{12}{1} = \frac{12}{4} \\ = 3[/tex]
PLSSS HELPPP ITS 7TH GRADE FRACTIONS
Answer:
Option C.
Step-by-step explanation:
Remaining lemonade aftet pouring 1/4 into thermos= 1¹/2- 1/4
2/5 of remaining lemonade= (1¹/2- 1/4)x 2/5
!!!HELP ASAP!!!Lindsey is practicing her downhill skiing. Slope A descends 15 vertical feel for every 24 horizontal feet. Slope B descends 12 vertical feet for every 16 horizontal feet. If Lindsey prefers to ski on a steeper hill, which should she chose, and why?
Answer:
Slope b it would be faster
Step-by-step explanation:
12 for every 16 is better than 15 for every 24 used simple math to get the answer
Hope this helped :)
Ben wants to buy 2 blue sweaters for $116 each and 3 brown sweaters for $42 each.
How much will Ben spend on the five sweaters?
Ben will spend $
on the five sweaters.
Use the Distance Formula to find the distance between (1, 3) and (-2,9), rounded to the nearest hundredth.
The distance between the points is about____
units
Answer:
3[tex]\sqrt{5\\[/tex]
Step-by-step explanation:
what’s 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Answer: Infinitely many solutions.
plz mark brainliest
PLZ I NEED THIS RN
The distance, y, in centimeters, of an ant from a hole in the tree for a certain amount of time, x, in seconds, is shown in the graph:
A graph titled Motion of Ant is shown. The graph shows time in seconds on the x-axis and the Distance from Hole in centimeters on the y-axis. The scale on the x-axis is shown from 0 to 6 at increments of 1, and the scale on the y-axis is shown from 0 to 12 at increments of 2. The graph has 3 straight lines. The first line is labeled P and joins ordered pairs 0, 0 and 2, 6. The second line is labeled Q and joins ordered pairs 2, 6 and 3, 6. The third line is labeled R and joins ordered pairs 3, 6 and 5, 0.
Part A: Is the graph linear or nonlinear? Explain your answer. (2 points)
Part B: In which segments is the graph increasing, decreasing, and constant? (3 points)
Part C: In your own words, describe the motion of the ant, as shown on the graph. (5 points)
Answer:
A: Nonlinear
B: Constant=0, Decreasing=M, Increasing=K
C: 2-3-3
Step-by-step explanation:
1. Linear graph - one with a line that has the same slope all the way through
The line doesn't have the same slope the whole way through because at one part it flattens and also decreases
---------------------------------------------------------------------------------
2. Remember: Increase (up), decrease (down), constant (constant)
---------------------------------------------------------------------------------
3. In my words, I don't know if they're asking the pattern or technical, but you can add on to the 2 mins walk, 3 mins stop, then 2 mins walk again.
Hope it helps
To win a trivia game, Nevan must score 90 points.
Each correct answer is worth 1 and 3/4 points, and each incorrect answer is worth −14 points.
If he gets 58 questions correct and 22 questions incorrect, does Nevan win? How many points does he score?
Answer:
Step-by-step explanation:
For correct questions
1 correct questions = 1 3/4 points
1 correct question = 7/4 points
Since he got 58correct questions, tgw total points he earned will be;
58 × 7/4
= 406/4
= 101.5points
For incorrect questions
1 incorrect question = -14points
22 incorrect = -14×22
22incorreft = -308points
Total points gained/lost =-308+101.5
Total points lost = -206.5
Since Nevan has a negative point of -206.5, this means that he lost.
He scored -206.5points
What is 3 1/2 - 7 1/10
Answer: -3 6/10 = 3 3/5
Step-by-step explanation: Rewriting our equation with parts separated
=3+12−7−110
=
3
+
1
2
−
7
−
1
10
Solving the whole number parts
3−7=−4
3
−
7
=
−
4
Solving the fraction parts
12−110=?
1
2
−
1
10
=
?
Find the LCD of 1/2 and 1/10 and rewrite to solve with the equivalent fractions.
LCD = 10
510−110=410
5
10
−
1
10
=
4
10
Reducing the fraction part, 4/10,
410=25
4
10
=
2
5
Combining the whole and fraction parts
−4+25=−335
Graph line with the equation y=x+6. (Can you explain how to do this overall)
Answer:
First using y = Mx + b with m = slope and b = y intercept so 1/3 = slope and (0,6) is y intercept next plot (0,6) the plot slope from that point with rise/run or from point (0,6) go up +1 point and over +3 and make a point then go up +1 and over +3 or from (0,6) use slope = -1/-3 since they equal the same thing. So from point (0,6) go down -1 and to the left -3. Then draw your line.
Step-by-step explanation:
what is the midpoint of the segment with endpoints (17,1) and (-9,3)
Answer:
(4,2)
Step-by-step explanation:
[tex](x_{m} ,y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}[/tex]
(17,1) & (-9,3)
x₁ = 17, x₂ = -9
y₁ = 1, y₂ = 3
1). [tex]\frac{17+(-9)}{2}[/tex], [tex]\frac{1+3}{2}[/tex]
2). (4, 2)
Name all of the angle(s) that are adjacent and congruent to angle BDC
Answer:
im not sure if im entirely correct, so i apologize in advance
<HDF
<BDG (i think)
<CDE
Step-by-step explanation:
The angles that are adjacent and congruent to ∠ BDC are ∠ HDF , ∠EDH and ∠CDE.
A figure is given in the question.
We have to tell about angles which are congruent to ∠ BDC.
What are the adjacent angles ?
The two angles are said to be adjacent angles when they share the common vertex and side.
As per the definition of adjacent angles ;
we can check for the adjacent angles from the figure.
Here ;
∠ BDC = ∠ HDF.
∠ BDC = ∠ EDH.
∠ BDC = ∠ CDE.
To check , if these are congruent too ; we must know that two angles are congruent when they have the same angle measurement, i.e., they’re equal.
if we compare from the figure ; we found that these angles are also congruent to each other.
Thus , the angles that are adjacent and congruent to ∠ BDC are ∠HDF , ∠EDH and ∠CDE.
To learn more about congruency of angles click here ;
https://brainly.com/question/24307954
#SPJ2
Please help it’s timed!
Answer:
A.
Step-by-step explanation:
When you divide 4, it isolates the variable giving you your answer in the equation.
Answer: The answer is A, dividing both sides by 4 eliminates the variable.
Step-by-step explanation: We can find this out by following along with the steps in the process. Since we need to remove the coefficient from “x” to simplify the equation, you must divide both sides by 4 to keep both sides of the equal sign balanced. How this helped! :)